An integrable deformation of the type IIB AdS5×S5 superstring action is presented. The deformed field equations, Lax connection, and κ-symmetry transformations are given. The original psu(2,2|4)… (More)

A procedure is developed for constructing deformations of integrable σ-models which are themselves classically integrable. When applied to the principal chiral model on any compact Lie group F , one… (More)

We argue that off-shell dualities between d=1 supermultiplets with different sets of physical bosonic components and the same number of fermionic ones are related to gauging some symmetries in the… (More)

Exploiting the gauging procedure developed by us in hep-th/0605211, we study the relationships between the models of N =4 mechanics based on the off-shell multiplets (4, 4, 0) and (1, 4, 3). We make… (More)

The cohomology of the BRS operator corresponding to a group of rigid symmetries is studied in a space of local field functionals subjected to a condition of gauge invariance. We propose a procedure… (More)

We define a two-parameter family of integrable deformations of the principal chiral model on an arbitrary compact group. The Yang–Baxter σ -model and the principal chiral model with a Wess–Zumino… (More)

We discuss various descriptions of a quantum particle on noncommutative space in a (possibly non-constant) magnetic field. We have tried to present the basic facts in a unified and synthetic manner,… (More)

A N = 4 supersymmetric matrix KP hierarchy is proposed and a wide class of its reductions which are characterized by a finite number of fields are described. This class includes the one-dimensional… (More)

We construct N = 4 supersymmetric KdV equation as a hamiltonian flow on the N = 4 SU (2) super Virasoro algebra. The N = 4 KdV superfield, the hamiltonian and the related Poisson structure are… (More)